Affiliation:
1. Department of Mathematics, Bilkent University, 06800 Ankara, Turkey
Abstract
We derive explicit defining equations for a number of irreducible maximizing plane sextics with double singular points only. For most real curves, we also compute the fundamental group of the complement; all groups found are abelian, which suffices to complete the computation of the groups of all non-maximizing irreducible sextics. As a by-product, examples of Zariski pairs in the strongest possible sense are constructed.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Reference18 articles.
1. On Sextic Curves with Big Milnor Number
2. E. Artal Bartolo, J. I. Cogolludo and H.O. Tokunaga, Algebraic Geometry in East Asia—Hanoi 2005, Advance Studies in Pure Mathematics 50 (Mathematical Society Japan, Tokyo, 2008) pp. 1–100.
3. Oka's conjecture on irreducible plane sextics
4. On deformations of singular plane sextics
Cited by
8 articles.
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